Section 12.1:  3D Coordinate Systems

• 3D Coordinate Systems – The Main Idea

Section 12.2:  Vectors

• Vectors (2D)
• Vectors (3D)

Section 12.3:  The Dot Product

• Dot Product (mini-lecture)
• Direction Angles and Direction Cosines – The Main Idea
• Scalar and Vector Projections

Section 12.4:  The Cross Product

• Cross Product and Determinants – The Main Idea
• Cross Product Properties

Section 12.5:  Equations of Lines and Planes

• Lines in Space
• Line Segments in Space
• Planes in Space
• Distance Between a Point and a Plane
• Distance Between Skew Lines

Section 12.6:  Cylinders and Quadric Surfaces

• Cylinders
• Ellipsoids
• Elliptic Paraboloids
• Hyperbolic Paraboloids
• Hyperboloids
• Cones and Summary